Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #97×D53 | C2 | semidirect |
| 3. #16810363 | C2 | semidirect |
| 4. #16810362 | C2 | semidirect |
| 5. C53×#329 | C2 | semidirect |
| 15. #13133128 | C22 | semidirect |
| 18. #97×C53 | C22 | semidirect |
| 82. D53 | #329 | direct (N × H) |
| 87. #329 | D53 | direct (N × H) |
| 88. C53 | C2×#329 | semidirect |
| 101. #97 | C2×D53 | semidirect |